Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks

We study the eigenvalue bounds for the nonsingular saddle point matrices of Hermitian and indefinite (1,1) and (2,2) blocks without imposing the restrictions that the (1,1) blocks are positive definite on the kernels of the (2,1) blocks.

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 237; no. 1; pp. 295 - 306
Main Author Bai, Zhong-Zhi
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2013
Subjects
Eigenvalue bounds
Eigenvalues
Estimates
Hermitian indefiniteness
Kernels
Mathematical analysis
Mathematical models
Matrices
Matrix methods
Saddle point matrices
Saddle points
65F50
Eigenvalue bounds
CR:G1.3
65F10
Saddle point matrices
Hermitian indefiniteness
Online AccessGet full text
ISSN0377-0427
1879-1778
DOI10.1016/j.cam.2012.05.007

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Summary:We study the eigenvalue bounds for the nonsingular saddle point matrices of Hermitian and indefinite (1,1) and (2,2) blocks without imposing the restrictions that the (1,1) blocks are positive definite on the kernels of the (2,1) blocks.
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content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2012.05.007